The description of the function PHI in the function wizard and in the help is wrong. It says that it returns the values of the distribution function for a standard normal distribution. But it is the density function.
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According to OASIS OpenDocument Version 1.2,
> PHI(N) is a synonym for NORMDIST(N,0,1,FALSE()).
> NORMDIST ... returns the value of the probability density function or the cumulative distribution function ...
> Syntax: NORMDIST( Number x ; Number Mean ; Number StandardDeviation [ ; Logical Cumulative = TRUE() ] )
When the Cumulative is FALSE() - as in PHI(N), - it returns the PDF; when TRUE(), it returns its integral (=CDF) - see https://en.wikipedia.org/wiki/Cumulative_distribution_function.
Gilward Kukel, thank you for the report; and you are welcome to submit a patch to correct this issue. This could be done online (in web UI) after you created an account at https://gerrit.libreoffice.org, and submitted a license statement according to https://wiki.documentfoundation.org/Development/Developers#License_Statements. This way, you can continue making corrections in the future as soon as you find an issue in documentation, have the corrections done immediately, and further contribute to benefit of all LibreOffice users.